A new approach to two-location joint inventory and transshipment control via Lmusic natural sign-convexity

Xin Chen, Xiangyu Gao, Zhenyu Hu

Research output: Contribution to journalArticle

Abstract

We provide a new approach to the analysis of the optimal joint inventory and transshipment control with uncertain capacities by employing the concept of Lmusic natural sign-convexity. In this approach, we use variable transformation techniques and apply two recent results to establish the Lmusic natural sign-concavity of the profit-to-go functions, which significantly simplifies the analysis in the existing literature. Some variations of the basic model can also be analyzed using our approach with minor modifications.

Original languageEnglish (US)
Pages (from-to)65-68
Number of pages4
JournalOperations Research Letters
Volume43
Issue number1
DOIs
StatePublished - Jan 2015

Keywords

  • Dynamic programming
  • Inventory control
  • L-convexity
  • Transshipment
  • Uncertain capacity

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

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